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Finding the Fourth Proportional to 726.54, 1,002.22 and 460.50

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Solution

The fourth proportional to 726.54, 1,002.22 and 460.50 is: 635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.54 : 1,002.22 = 460.50 : x
  2. Step 2: Convert to fraction form
    726.54/1,002.22 = 460.50/x
  3. Step 3: Cross multiply
    726.54x = 1,002.22 × 460.50
  4. Step 4: Simplify right side
    726.54x = 461,522.31
  5. Step 5: Solve for x
    x = 461,522.31/726.54
  6. Step 6: Final answer
    x = 635.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.